Details

Time bar (total: 13.5s)

sample38.0ms

Algorithm
intervals
Results
14.0ms264×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.6b
(/ x (- y (* z t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
12.0ms
(- y (* z t))
19.0ms
(/ x (- y (* z t)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- y (* z t))
72.0ms
(/ x (- y (* z t)))

simplify2.9s

Counts
47 → 47
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
074506
1158492
2384454
3899454
42145453
done5000453

prune205.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (/ (- y (* z t)) x))
2.6b
(/ (- y (* z t)) x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
6.0ms
(- y (* z t))
21.0ms
(/ 1 (/ (- y (* z t)) x))
28.0ms
(/ (- y (* z t)) x)

series303.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- y (* z t))
166.0ms
(/ 1 (/ (- y (* z t)) x))
88.0ms
(/ (- y (* z t)) x)

simplify2.0s

Counts
127 → 127
Iterations

Useful iterations: 3 (802.0ms)

IterNodesCost
01741898
13971669
28871484
324111466
done50011466

prune256.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
2.7b
(* (/ 1 (- y (* z t))) x)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*l*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*r* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
3 → 82
Calls
3 calls:
5.0ms
(- y (* z t))
16.0ms
(/ 1 (- y (* z t)))
48.0ms
(* (/ 1 (- y (* z t))) x)

series244.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- y (* z t))
69.0ms
(/ 1 (- y (* z t)))
120.0ms
(* (/ 1 (- y (* z t))) x)

simplify3.3s

Counts
91 → 91
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
0111997
1254863
2584781
31342771
43384770
done5000770

prune242.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
2.7b
(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/l*
17×add-cbrt-cube
16×flip3-- associate-/r* flip--
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 300
Calls
3 calls:
11.0ms
(- y (* z t))
19.0ms
(/ 1 (- y (* z t)))
49.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

series286.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- y (* z t))
66.0ms
(/ 1 (- y (* z t)))
161.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))

simplify1.6s

Counts
309 → 309
Iterations

Useful iterations: done (1.6s)

IterNodesCost
04557191
112405588
221094948
done50004876

prune471.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes318.0ms

Accuracy

36.9% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 2.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
12024
done2024

end0.0ms

sample810.0ms

Algorithm
intervals
Results
321.0ms8342×body80valid